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Finding the Fourth Proportional to 30,886.15, 42,623.04 and 16,738.96

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Solution

The fourth proportional to 30,886.15, 42,623.04 and 16,738.96 is: 23,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.15 : 42,623.04 = 16,738.96 : x
  2. Step 2: Convert to fraction form
    30,886.15/42,623.04 = 16,738.96/x
  3. Step 3: Cross multiply
    30,886.15x = 42,623.04 × 16,738.96
  4. Step 4: Simplify right side
    30,886.15x = 713,465,361.64
  5. Step 5: Solve for x
    x = 713,465,361.64/30,886.15
  6. Step 6: Final answer
    x = 23,099.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.